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Simplifying 5(X + 3) + 9 = -1 + -2(X + -2) Reorder the terms: 5(3 + X) + 9 = -1 + -2(X + -2) (3 * 5 + X * 5) + 9 = -1 + -2(X + -2) (15 + 5X) + 9 = -1 + -2(X + -2) Reorder the terms: 15 + 9 + 5X = -1 + -2(X + -2) Combine like terms: 15 + 9 = 24 24 + 5X = -1 + -2(X + -2) Reorder the terms: 24 + 5X = -1 + -2(-2 + X) 24 + 5X = -1 + (-2 * -2 + X * -2) 24 + 5X = -1 + (4 + -2X) Combine like terms: -1 + 4 = 3 24 + 5X = 3 + -2X Solving 24 + 5X = 3 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. 24 + 5X + 2X = 3 + -2X + 2X Combine like terms: 5X + 2X = 7X 24 + 7X = 3 + -2X + 2X Combine like terms: -2X + 2X = 0 24 + 7X = 3 + 0 24 + 7X = 3 Add '-24' to each side of the equation. 24 + -24 + 7X = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 7X = 3 + -24 7X = 3 + -24 Combine like terms: 3 + -24 = -21 7X = -21 Divide each side by '7'. X = -3 Simplifying X = -3
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